return [ rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,42)( 8,17)(10,25)(11,34)(12,22)(14,20)(15,23)(16,33)(18,38)
        (19,37)(24,40)(26,32)(27,51)(28,43)(30,36)(31,55)(35,46)(39,41)(44,47)(45,56)(48,54)(49,60)(50,59)(52,58)
        (53,64)(57,62)(61,63),
      nbP := 64,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,19)( 7,35)( 8,15)(10,23)(11,45)(12,20)(14,18)(16,31)(17,28)(21,43)
        (22,39)(24,30)(25,61)(26,49)(29,53)(32,38)(33,55)(34,54)(36,42)(37,63)(40,47)(41,60)(44,48)(46,52)(50,58)
        (51,57)(56,62)(59,64),
      nbP := 64,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64) ), rec(
      invers := ( 1, 5)( 2,13)( 3,10)( 4, 9)( 6,21)( 7,33)( 8,17)(11,25)(12,22)(14,20)(15,49)(16,26)(18,30)(19,29)
        (23,41)(24,37)(27,45)(28,42)(31,36)(32,50)(34,40)(35,60)(38,53)(39,58)(43,55)(44,54)(46,52)(47,64)(48,56)
        (51,59)(57,61)(62,63),
      nbP := 64,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54)(55,56,57,58)
        (59,60,61,62)(63,64) ), rec(
      invers := ( 1, 5)( 2,15)( 3,64)( 4,10)( 6,14)( 7,27)( 8,19)( 9,11)(12,63)(13,18)(16,22)(17,28)(20,23)(21,31)
        (24,30)(25,43)(26,35)(29,34)(32,38)(33,44)(36,39)(37,47)(40,46)(41,59)(42,51)(45,50)(48,54)(49,60)(52,56)
        (53,55)(57,62)(58,61),
      nbP := 64,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64) ), rec(
      invers := ( 1, 3)( 2, 4)( 5,10)( 6, 7)( 8,11)( 9,12)(13,18)(14,15)(16,19)(17,20)(21,26)(22,23)(24,27)(25,28)
        (29,34)(30,31)(32,35)(33,36)(37,42)(38,39)(40,43)(41,44)(45,50)(46,47)(48,51)(49,52)(53,58)(54,55)(56,59)
        (57,60)(61,64)(62,63),
      nbP := 64,
      next := ( 1, 2)( 3, 4, 5, 6)( 7, 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64) ) ];
